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Finding the Fourth Proportional to 404.38, 605.35 and 259.80

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Solution

The fourth proportional to 404.38, 605.35 and 259.80 is: 388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.38 : 605.35 = 259.80 : x
  2. Step 2: Convert to fraction form
    404.38/605.35 = 259.80/x
  3. Step 3: Cross multiply
    404.38x = 605.35 × 259.80
  4. Step 4: Simplify right side
    404.38x = 157,269.93
  5. Step 5: Solve for x
    x = 157,269.93/404.38
  6. Step 6: Final answer
    x = 388.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.